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    Automorphism groups of graph covers and uniform subset graphs 

    Mumba, Nephtale; Mwambene, Eric (Taylor and Francis Group, 2018)
    Hofmeister considered the automorphism groups of antipodal graphs through the exploration of graph covers. In this note weextend the exploration of automorphism groups of distance preserving graph covers. We apply the ...
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    A robust spectral method for pricing of American put options on zero-coupon bonds 

    Pindza, Edson; Patidar, Kailash C. (Global-Science Press, 2018)
    American put options on a zero-coupon bond problem is reformulated as a linear complementarity problem of the option value and approximated by a nonlinear partial differential equation. The equation is solved by an ...
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    On maximal inequalities via comparison principle 

    Makasu, Cloud (SpringerOpen, 2015)
    Under certain conditions, we prove a new class of one-sided, weighted, maximal inequalities for a standard Brownian motion. Our method of proof is mainly based on a comparison principle for solutions of a system of ...
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    Relative homotopy in relational structures 

    Witbooi, Peter (Cambridge University Press, 2018)
    The homotopy groups of a finite partially ordered set (poset) can be described entirely in the context of posets, as shown in a paper by B. Larose and C. Tardif. In this paper we describe the relative version of such a ...
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    Binary codes and partial permutation decoding sets from the odd graphs 

    Fish, Washiela; Fray, Roland; Mwambene, Eric (Walter de Gruyter, 2014)
    For k ≥ 1, the odd graph denoted by O(k), is the graph with the vertex-set Ω{k} , the set of all k-subsets of Ω = {1, 2, . . . , 2k + 1}, and any two of its vertices u and v constitute an edge [u, v] if and only if u ∩ ...
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    Optimal strategy for controlling the spread of HIV/AIDS disease: A case study of South Africa 

    Yusuf, Tunde T.; Benyah, Francis (Taylor and Francis Group, 2012)
    HIV/AIDS disease continues to spread alarmingly despite the huge amounts of resources invested infighting it. There is a need to integrate the series of control measures available to ensure a consistentreduction ...
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    Protein interaction networks as metric spaces: A novel perspective on distribution of hubs 

    Fadhal, Emad; Gamieldien, Junaid; Mwambene, Eric C (BMC, 2014)
    In the post-genomic era, a central and overarching question in the analysis of protein-protein interaction networks continues to be whether biological characteristics and functions of proteins such as lethality, physiological ...
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    Modeling the dynamics of an epidemic under vaccination in two interacting populations 

    Ahmed, Ibrahim H. I.; Witbooi, Peter J.; Patidar, Kailash (Hindawi, 2012)
    Mathematical modeling of the numerical evolution of infectious diseases has become an important tool for disease control and eradication when possible. Much work has been done on the problem of how a given population is ...
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    A fitted numerical method for parabolic turning point singularly perturbed problems with an interior layer 

    Munyakazi, Justin B.; Patidar, Kailash C.; Sayi, Mbani T. (Wiley, 2019)
    The objective of this paper is to construct and analyzea fitted operator finite difference method (FOFDM) forthe family of time-dependent singularly perturbed parabolicconvection–diffusion problems. The solution to the ...
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    A NSFD method for the singularly perturbed Burgers-Huxley equation 

    Derzie, Eshetu B.; Munyakazi, Justin B.; Dinka, Tekle G. (Frontiers Media, 2023)
    This article focuses on a numerical solution of the singularly perturbed Burgers-Huxley equation. The simultaneous presence of a singular perturbation parameter and the nonlinearity raise the challenge of finding a reliable ...
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    AuthorMunyakazi, Justin B. (3)Derzie, Eshetu B. (2)Dinka, Tekle G. (2)Makasu, Cloud (2)Mwambene, Eric (2)Patidar, Kailash C. (2)Ahmed, Ibrahim H. I. (1)Benyah, Francis (1)Fadhal, Emad (1)Fish, Washiela (1)... View MoreSubject
    Applied Mathematics (12)
    Mathematics (7)Burgers-Huxley equation (2)Nonlinear equations (2)Public health (2)Antiretroviral treatment (ART) (1)Automorphism (1)Bessel processes (1)Binary codes (1)Brownian motion (1)... View MoreDate Issued2020 - 2023 (3)2012 - 2019 (9)Has File(s)Yes (12)

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